Download Compare and order positive and negative fractions, decimals, and

Grade 6: Number Sense Sentence Frames
Compare and order positive and negative
fractions, decimals, and mixed numbers and place
them on a number line.
1. _ _ _ is greater than zero and less than _ _ _.
2. _ _ _ is greater than _ _ _ and less than zero.
3. _ _ _ is greater than _ _ _ because it is to the right
of _ _ _ on the number line.
4. _ _ _ is less than _ _ _ because it is to the left of _
_ _ on the number line.
Use proportions to solve problems (e.g.,
determine the value of N if 4/7 = N/ 21, find the
length of a side of a polygon similar to a known
polygon). Use cross-multiplication as a method
for solving such problems, understanding it as the
multiplication of both sides of an equation by a
multiplicative inverse.
1. If the scale of a map is one inch equals _ _ _
miles, then _ _ _ inches represents _ _ _ miles.
2. If the lengths of corresponding sides of two
similar triangles are _ _ _ and _ _ _, then the ratio of
the lengths of the corresponding sides is _ _ _ to _ _
_.
Interpret and use ratios in different contexts
(e.g., batting averages, miles per hour) to show the
relative sizes of two quantities, using appropriate
notations ( a/b, a to b, a:b ).
1. If a bag contains _ _ _ red marbles and _ _ _ blue
marbles, then the ratio of red to blue marbles is _ _
_ to _ _ _.
2. If the ratio of boys to girls is _ _ _ : _ _ _ and
there are _ _ _ boys, then there are _ _ _ girls.
3. If a pet store has _ _ _ puppies and _ _ _ kittens,
then the ratio of puppies to kittens is _ _ _ to _ _ _.
Calculate given percentages of quantities and
solve problems involving discounts at sales, interest
earned, and tips.
1. _ _ _ percent of _ _ _ is _ _ _.
2. If a sweater is on sale for _ _ _ off, then the sale
price of the sweater is _ _ _ percent of the original
price.
3. A twenty percent tip on a lunch that costs _ _ _ is
_ _ _ dollars and _ _ _ cents.
Solve problems involving addition, subtraction,
multiplication, and division of positive fractions and
explain why a particular operation was used for
a given situation.
Solve addition, subtraction, multiplication, and
division problems, including those arising in
concrete situations, that use positive and negative
integers and combinations of these operations.
1. If _ _ _ is added to _ _ _ , the lowest common
denominator is _ _ _.
1. The sum of negative _ _ _ and positive _ _ _ is
negative _ _ _.
Explain the meaning of multiplication and
division of positive fractions and perform the
calculations (e.g., 5/8 ÷ 15/16 = 5/8 x 16/15 = 2/3).
2. The sum of negative _ _ _ and positive _ _ _ is
positive _ _ _.
1. Dividing _ _ _ by _ _ _ and multiplying _ _ _ by
_ _ _ yield the same result.
2. To find _ _ _ of _ _ _, the operation used is _ _ _.
(Example: To find two-thirds of 60, the operation
used is _ _ _.)
3. The product of negative _ _ _ and positive _ _ _
is negative _ _ _.
4. The product of negative _ _ _ and negative _ _ _
is positive _ _ _.
5. Positive _ _ _ minus negative _ _ _ is the same as
positive _ _ _ plus positive _ _ _.
Grade 6: Number Sense Sentence Frames